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Bernstein–Nikol’skii-Type Inequalities for Algebraic Polynomials from the Bergman Space in Domains of the Complex Plane

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Ukrainian Mathematical Journal Aims and scope

We study Bernstein-type and Nikol’skii-type estimates for an arbitrary algebraic polynomial in regions of the complex plane.

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Authors and Affiliations

  1. Kyrgyz-Turkish “Manas” University, Bishkek, Kyrgyzstan

    F. G. Abdullayev

  2. Mersin University, Mersin, Turkey

    F. G. Abdullayev

  3. Gaziantep University, Gaziantep, Turkey

    C. D. Gün

Authors
  1. F. G. Abdullayev
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  2. C. D. Gün
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Correspondence to F. G. Abdullayev.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal,Vol. 73, No. 4, pp. 439–454, April, 2021. Ukrainian DOI: 10.37863/umzh.v73i4.6306.

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Abdullayev, F.G., Gün, C.D. Bernstein–Nikol’skii-Type Inequalities for Algebraic Polynomials from the Bergman Space in Domains of the Complex Plane. Ukr Math J 73, 513–531 (2021). https://doi.org/10.1007/s11253-021-01940-z

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  • DOI: https://doi.org/10.1007/s11253-021-01940-z

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